λ
Prime Ledger

3,040,989

3 × 72 × 137 × 151
Deficient Odd Composite

3,040,989 has the prime decomposition 3 × 7^2 × 137 × 151. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 137 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,782,528
Proper Divisor Sum 1,741,539
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3040987 ← → #3040997

Radix Representation

Decimal 3040989
Binary 1011100110011011011101 (22 bits)
Octal 0o13463335
Hexadecimal 0x2E66DD

Divisor Catalog (24)

1 3 7 21 49 137 147 151 411 453 959 1,057 2,877 3,171 6,713 7,399 20,139 20,687 22,197 62,061 144,809 434,427 1,013,663 3,040,989

Collatz Trajectory (107 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,040,989 9,122,968 4,561,484 2,280,742 1,140,371 3,421,114 1,710,557 5,131,672 2,565,836 1,282,918 641,459 1,924,378 962,189 2,886,568 1,443,284 721,642 360,821 1,082,464 541,232 270,616 135,308 67,654 33,827 101,482 50,741 152,224 76,112 38,056 19,028 9,514 4,757 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

More profiles

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